3815969084928 has 960 divisors, whose sum is σ = 14935108091904. Its totient is φ = 905748480000.

The previous prime is 3815969084897. The next prime is 3815969084947. The reversal of 3815969084928 is 8294809695183.

3815969084928 is a `hidden beast` number, since 3 + 8 + 1 + 596 + 9 + 0 + 8 + 4 + 9 + 28 = 666.

3815969084928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465869313 + ... + 465877503.

Almost surely, 2^{3815969084928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3815969084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467554045952).

3815969084928 is an abundant number, since it is smaller than the sum of its proper divisors (11119139006976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3815969084928 is a wasteful number, since it uses less digits than its factorization.

3815969084928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8347 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 3815969084928 in words is "three trillion, eight hundred fifteen billion, nine hundred sixty-nine million, eighty-four thousand, nine hundred twenty-eight".